A vacuum is your best friend in the case of fleas- but do not vacuum Bowie though!
I'll let the experts speak to treating the pup.
It is important to understand a flea life cycle to prevent infestation in your home.
It is imperative
to vacuum up any flea eggs/larvae /pupae to stop the cycle before they become adults searching for a host.
Flea eggs are not sticky and will fall to the ground.
Vacuum daily. Once the larvae hatch from the eggs they will seek out dark hidden spots, cracks, pet bedding and form their cocoons and can emerge quickly or be dormant for long periods of time. So get the tube attachment out and vacuum where the floors meet the walls. Move furniture and get underneath, anywhere the larvae could have crawled and hid in, etc.
Then get the vacuum bag out of the house asap- or if a bag-less vac- empty it outside every time you vacuum.
Good luck! I had an indoor cat many years ago, and I don't know how she got fleas but she did! One must have hitched a ride on our clothes and got in- it wasn't long before
they multiplied. It can get out of hand very quickly if you are not on top of it.